# How do you simplify to tell whether the ratios 3/5, 5/3 form a proportion?

Mar 1, 2018

They are not in direct proportion.

#### Explanation:

A proportion is a statement that two ratios are equal.

Fractions can be written as ratios.

Is $3 : 5 = 5 : 3$??

It should be obvious that these are not equal.

In a direct proportion, as one quantity increases, the other decreases.

$3$ does not compare with $5$ in the same way as $5$ compares with $3$.

The fractions $\frac{3}{5} \mathmr{and} \frac{5}{3}$ are also not equal
One is a proper fraction and the other is an improper fraction.